非高斯项对超低浓度动态光散射测量的影响

Effect of non-Gaussian term on dynamic light scattering measurement at ultra-low concentrations

  • 摘要: 采用去除和保留非高斯项方法,分别反演了不同分布宽度颗粒的模拟动态光散射数据,并通过相应的光强自相关函数(autocorrelation function, ACF)与平均粒径对应的光强ACF间的差值,计算出不同分布宽度颗粒的粒度信息在光强ACF中的分布。结果表明,对于窄分布颗粒,在较低噪声水平下,去除与保留非高斯项对颗粒粒度分布反演无明显影响。随着噪声水平的增高,去除非高斯项反演的性能指标优于保留非高斯项。对于宽分布颗粒(变异系数一般大于3%),保留非高斯项则可得到更为准确的反演结果。产生上述结果的原因在于,不同分布宽度颗粒对应的非高斯项中的粒度信息含量不同。与窄粒度分布相比,宽分布颗粒对应的非高斯项包含更多的粒度信息,去除非高斯项会导致粒度信息丢失,从而降低反演结果的准确性。由于光强ACF的长延迟时段含有较多噪声,窄分布颗粒的反演不仅不能通过保留非高斯项获益,而且还会因噪声增加使反演结果的准确性降低。

     

    Abstract: The simulated dynamic light scattering data of particles with different distribution widths were inverted using the methods of removing and retaining the non-Gaussian term. The distribution of the particle size information in the light intensity autocorrelation function (ACF) with different distribution widths was calculated by the differences between the light intensity ACF and the light intensity ACF corresponding to the average particle size. The results show that for narrow distribution particle systems, the removal and retention of non-Gaussian term have no obvious effect on the inverted particle size distribution at lower noise levels. As the noise level increases, the performance indices of inversion results by removing non-Gaussian term are better than that of by retaining non-Gaussian term. For wide distribution particle systems (coefficients of variation typically greater than 3%), retaining the non-Gaussian term can yield more accurate inversion results. The reason for the above results is that the content of particle size information in the non-Gaussian term corresponding to particles with different distribution widths is different. Compared with narrow distribution particle systems, the non-Gaussian term corresponding to wide distribution particle systems contains more particle size information. The removal of non-Gaussian term can lead to the loss of some particle size information, thereby reducing the accuracy of the inversion results. Since the long-delay period of the intensity ACF contains more noise, the inversion of narrow distribution particles not only cannot benefit from retaining non-Gaussian term, but also reduces the accuracy of inversion results due to the increase of noise.

     

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